Simplify 4x-(2y-(5x-4y))

$4 x - (2 y - (5 x - 4 y))$

Simplify each term.

Simplify each term.

Apply the distributive property.

$4 x - (2 y - (5 x) - (- 4 y))$

Multiply $5$ by $- 1$ .

$4 x - (2 y - 5 x - (- 4 y))$

Multiply $- 4$ by $- 1$ .

$4 x - (2 y - 5 x + 4 y)$

$4 x - (2 y - 5 x + 4 y)$

Add $2 y$ and $4 y$ .

$4 x - (- 5 x + 6 y)$

Apply the distributive property.

$4 x - (- 5 x) - (6 y)$

Multiply $- 5$ by $- 1$ .

$4 x + 5 x - (6 y)$

Multiply $6$ by $- 1$ .

$4 x + 5 x - 6 y$

$4 x + 5 x - 6 y$

Add $4 x$ and $5 x$ .

$9 x - 6 y$

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